Chapter 6.5, Problem 10PPS

To determine

To Solve: The equation $\frac{8}{12}=\frac{28}{m}$

Answer to Problem 10PPS

  $m=42$

Explanation of Solution

Given information:

The equation $\frac{8}{12}=\frac{28}{m}$

Concept and Formula Used:

To solve the equation bring variable to one side and constant to other side and use cross multiplication.

Calculation:

The given equation is $\frac{8}{12}=\frac{28}{m}$

Cross multiply

  $\begin{array}{l}\frac{8}{12}=\frac{28}{m}\\ 8\times m=28\times 12\\ 8m=336\\ \text{Divide both side by 8}\\ \frac{8m}{8}=\frac{336}{8}\\ 1m=42\\ m=42\end{array}$

Conclusion:

  $m=42$